Page:Elementary Principles in Statistical Mechanics (1902).djvu/143

Rh From the last equation, with (298), we get But by equations (288) and (289)  Therefore

Again, with the aid of equation (301), we get if $$n>2$$. Therefore, by (289),

These results are interesting on account of the relations of the functions $$e^{-\phi}V$$ and $$\frac{d\phi}{d\epsilon}$$ to the notion of temperature in thermodynamics,—a subject to which we shall return hereafter. They are particular cases of a general relation easily deduced from equations (306), (374), (288) and (289). We have The equation may be written